Step-by-step explanation:
Given equations are :
2y = 2x + 2 ....(1)
4y = 4x + 10 ....(2)
we need to find the solution of the system of equations.
If the general equation are :
a₁x+b₁y+c₁ = 0
and
a₂x+b₂y+c₂ = 0
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\ne \dfrac{c_1}{c_2}[/tex] (For parallel lines)
Here, a₁ = 2, b₁ = 2, c₁ = 2, a₂ = 4, b₂ = 4 and c₂ = 10
Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{2}{4}\ne \dfrac{c_1}{c_2}[/tex]
Hence, the given system of equation is parallel lines.
